Abstract

Citation

Researchers should cite this work as follows:

• Winkel, B. (2023). 2008-Brian_Winkel-Fourier_Series-Optimization_Opportunity. SIMIODE, QUBES Educational Resources. doi:10.25334/NGJK-V088

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Article Context

Description

Winkel, Brian. 2008. Fourier series optimization opportunity, International Journal of Mathematical Education in Science and Technology, 39(2): 276 - 284.

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We discuss the introduction of Fourier series as an immediate application of optimization of a function of more than one variable.  Specifically, we show how the study of Fourier series can be motivated to enrich a multivariable calculus class. We do this through discovery learning and use of technology wherein  students build the sine Fourier series for the simple function f(x) = x and then generalize to the n-term sine Fourier series for a general function, f(x). We show how the students can then explore the power of the Fourier series to represent functions.